For #3, you just have to plug in the numbers for x.
It tells you what to substitute for x in the question. (x = 0, 1, 2, 3, 4, 5, and 6)
For example, let's substitute 0 for x.
6x - x² (the 2 means square the number, or multiply it by itself)
6(0) - (0)²
0 - 0
= 0.
You'll do that to all the numbers (1-6) and fill out the table.
For #4, you have to solve using the distributive property to find out if the equations on both sides are equal.
I'll do the first one for you.
6a - 8 = 2 (3a - 5)
6a - 8 = 6a - 10
They're not equal.
Base on my calculations, the answer is not in the choices given. First, we have to acknowledge that the interest rate given is not the effective interest rate instead it is called the nominal interest rate therefore we have to convert it first to an effective interest rate. We use the following formula:
Effective Interest rate = [[1 + (r/m)]^m] - 1 where r is the nominal interest rate and m is the number of compounding times
For this case, m is equal to 2 since it is compounded semianually.
Effective Interest rate = [[1 + (.12/2)]^2] - 1 = .1236
We then use the calculated effective interest rate to the formula for the Compound Interest Rate Formula.
Future Value = Present Value (1 + Effective interest rate)^(no. of years)Future Value = 3000 (1 + .1236)^( 3) = 4255.56 dollars
Answer:
x=-8.5.
Step-by-step explanation:
First, write an equation. Twice x (2x) plus 7 (+7) is the same as (=) negative ten (-10), or 2x+7=-10. To solve, first subtract 7 from both sides to get 2x=-17. Then, divide both sides by 2 (x=-8.5).
Answer:
B = -0.03t + 0.24
Step-by-step explanation:
Given: battery is at 24% when Logan leaves the house; it loses 3% per hour.
"T" is a placeholder for every hour. In one hour, the phone will be at 21%.
Answer:
35 in^2
Step-by-step explanation:
The area of a trapezoid is the average of the bases times the height.
Base 1: 8, Base 2: 6, Height: 5
(8 + 6)/2 = 7
7 * 5 = 35 in^2
